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Finding the Fourth Proportional to 6,475.82, 9,715.82 and 2,729.43

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Solution

The fourth proportional to 6,475.82, 9,715.82 and 2,729.43 is: 4,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.82 : 9,715.82 = 2,729.43 : x
  2. Step 2: Convert to fraction form
    6,475.82/9,715.82 = 2,729.43/x
  3. Step 3: Cross multiply
    6,475.82x = 9,715.82 × 2,729.43
  4. Step 4: Simplify right side
    6,475.82x = 26,518,636.94
  5. Step 5: Solve for x
    x = 26,518,636.94/6,475.82
  6. Step 6: Final answer
    x = 4,095.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.